Question

Microwave and RF Design of Wireless System

3.8 A noisy resistor of value R, at temperature T, is connected to a load resistor of value R. Calculate and plot the average power dissipated in the load, normalized to KTB, for 0 <RL < 10R. Prove that maximum power transfer occurs for R=R.

Answer 1

3.8 I given a rens tor i ronnected to load. (R) R. & RL Vout - Noise power is given as PN E KTB. - to determine noire voltage & power, we need current produced by Noise source Current through wad ļ & given as I Vin (Req=p+ R) - Rea a Vin R+ RL -> power absorbed by wad u given by Р= 1 хв. Pe - Vi har xe no ► Now, let's get power delivered to load by source P. = I ² (R+R) - ②

Now only when R = Re, input power will be equal to power delivered to load a from pi= in x R UR2 as from @ Pu I 2RL Puis Vin - L 2RL -> from ③ & PL=2PL only when R=R, which ů maximum power transfer. rms Noine voltage Vir- YRKTB чRETB URL R=R) Since =>P,= AR KTB ARE PLEKTB Q as you increase Re' the load power increases & To does the dirsnipation R-RL

Hope this helps.